主题词：semigroups and automata theory; Advanced Algebra and Logic; Fuzzy and Soft Set Theory; Rings, Modules, and Algebras; Geometric and Algebraic Topology; Advanced Topics in Algebra; Advanced Topology and Set Theory; Mathematical Dynamics and Fractals; Functional Equations Stability Results; Advanced Operator Algebra Research; Nonlinear Differential Equations Analysis; Commutative Algebra and Its Applications; Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Advanced Banach Space Theory; Polynomial and algebraic computation; Homotopy and Cohomology in Algebraic Topology; Rough Sets and Fuzzy Logic; advanced mathematical theories; Computability, Logic, AI Algorithms; Spectral Theory in Mathematical Physics; Algebraic structures and combinatorial models; Logic, programming, and type systems; Finite Group Theory Research; Holomorphic and Operator Theory